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Bayes approach to time series models

Research Project

Project/Area Number 19700268
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionWaseda University

Principal Investigator

TAMAKI Kenichiro  Waseda University, 政治経済学術院, 准教授 (80409664)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥2,750,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥450,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥800,000 (Direct Cost: ¥800,000)
Keywords経験尤度 / 高次漸近理論 / 時系列解析 / 統計的推測 / 数理ファイナンス / ノンパラメトリック検定 / Bartlett補正 / 検出力
Research Abstract

First, we considered the second order power properties of empirical likelihood for stationary processes. Next, we investigated an optimal property of the maximum likelihood estimator of Gaussian locally stationary processes by the second order approximation. To elucidate the effect on zero-coupon bond price valuation when short rate model has non-Gaussian dependent innovations, we derived the approximate bond price formula using higher order asymptotic theory. Moreover we investigated asymptotic distribution of the change point test statistic based on the frequency domain empirical likelihood.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (19 results)

All 2010 2009 2008 2007

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (14 results)

  • [Journal Article] Higher order asymptotic bond price valuation for interest rates with non-Gaussian dependent innovations2010

    • Author(s)
      Tetsuhiro Honda, Kenichiro Tamaki, Takayuki Shiohama
    • Journal Title

      Finance Research Letters Vol.7,No.1

      Pages: 60-69

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Higher order asymptotic bond price valuation for interest rates with non-Gaussian dependent innovations2010

    • Author(s)
      Tetsuhiro Honda, Kenichiro Tamaki, Takayuki Shiohama
    • Journal Title

      Finance Research Letters 7

      Pages: 60-69

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Second order properties of locally stationary processes2009

    • Author(s)
      Kenichiro Tamaki
    • Journal Title

      Journal of Time Series Analysis Vol.30,No.1

      Pages: 145-166

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Second order properties of locally stationary processes2009

    • Author(s)
      Kenichiro Tamaki
    • Journal Title

      Journal of Time Series Analysis 30

      Pages: 145-166

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Bernstein-von Mises theorem for stationary processes2008

    • Author(s)
      Kenichiro Tamaki
    • Journal Title

      Journal of the Japan Statistical Society Vol.38,No.2

      Pages: 311-323

    • NAID

      10030993823

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Presentation] Second order properties of the distributions of test statistics derived under Whittle measure2009

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"数理統計学における最近の展開とその周辺
    • Place of Presentation
      高崎経済大学
    • Year and Date
      2009-11-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Higher order asymptotic bond price valuation for interest rates with non-Gaussian dependent innovations2009

    • Author(s)
      本田哲弘, 玉置健一郎, 塩濱敬之
    • Organizer
      科研費シンポジウム"数理統計学における最近の展開とその周辺
    • Place of Presentation
      高崎経済大学
    • Year and Date
      2009-11-14
    • Related Report
      2009 Final Research Report
  • [Presentation] Second order properties of the distributions of test statistics der ived under Whittle measure2009

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"数理統計学における最近の展開とその周辺"
    • Place of Presentation
      高崎経済大学
    • Year and Date
      2009-11-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] オプション価格評価における高次漸近理論2009

    • Author(s)
      玉置健一郎
    • Organizer
      Seminar on Time Series and Financial Engineering
    • Place of Presentation
      早稲田大学
    • Year and Date
      2009-06-27
    • Related Report
      2009 Final Research Report
  • [Presentation] 時系列モデルに対する高次漸近理論2008

    • Author(s)
      玉置健一郎
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Related Report
      2009 Final Research Report
  • [Presentation] Power comparisons of nonparametric likelihood-based tests for stationary processes2008

    • Author(s)
      Kenichiro Tamaki
    • Organizer
      Amsterdam Japanese Mini Conference Econometrics
    • Place of Presentation
      University of Amsterdam
    • Year and Date
      2008-02-29
    • Related Report
      2009 Final Research Report
  • [Presentation] Power comparisons of nonparametric likelihood-based tests for stationary processes2008

    • Author(s)
      Kenichiro Tamaki
    • Organizer
      Seminar at Department of Statistics
    • Place of Presentation
      Chinese University of Hong Kong
    • Year and Date
      2008-02-19
    • Related Report
      2009 Final Research Report
  • [Presentation] Power comparisons of nonparametric likelihood-based tests for stationary processes2008

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"計量ファイナンスと時系列解析法の新たな展開
    • Place of Presentation
      香川大学
    • Year and Date
      2008-01-25
    • Related Report
      2009 Final Research Report
  • [Presentation] Power comparisons of nonparametric likelihood-based tests for stationary processes2008

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"計量ファイナンスと時系列解析法の新たな展開"
    • Place of Presentation
      香川大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Power properties of nonparametric likelihood-based tests for stationary processes2007

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"統計的推測理論の諸問題について
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-12-07
    • Related Report
      2009 Final Research Report
  • [Presentation] Power properties of empirical likelihood for stationary processes2007

    • Author(s)
      玉置健一郎
    • Organizer
      日本数学会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] On adjustments based on the signed root empirical likelihood for linear regression model2007

    • Author(s)
      玉置健一郎
    • Organizer
      日本数学会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] On adjustments based on the signed root empirical likelihood for linear regression model2007

    • Author(s)
      玉置健一郎
    • Organizer
      日本統計学会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
    • Related Report
      2009 Final Research Report 2007 Annual Research Report
  • [Presentation] Power properties of nonparametric likelihood-based tests for stationary processes2007

    • Author(s)
      玉置健一郎
    • Organizer
      科研費シンポジウム"統計的推測理論の諸問題について"
    • Place of Presentation
      北海道大学
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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